GCD of 354, 334, 45, 494 Calculator

Given Input numbers are 354, 334, 45, 494

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 354, 334, 45, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 334, 45, 494 is 1.

Therefore, GCD of numbers 354, 334, 45, 494 is 1

Given Input Data is 354, 334, 45, 494

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 334 is 2 x 167

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 494 is 2 x 13 x 19

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(354, 334) = 59118

GCD(354, 334) = ( 354 x 334 ) / 59118

GCD(354, 334) = 118236 / 59118

GCD(354, 334) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

GCD of 354, 334, 45, 494 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 737, 394, 56, 418
• GCD of 848, 920, 90, 480
• GCD of 281, 506, 90, 514
• GCD of 235, 223, 64, 867
• GCD of 649, 637, 61, 558

1. What is the GCD of 354, 334, 45, 494?

GCD of 354, 334, 45, 494 is 1

2. Where do I get the detailed procedure to find GCD of 354, 334, 45, 494?

You can find a detailed procedure to find GCD of 354, 334, 45, 494 on our page.

3. How to find GCD of 354, 334, 45, 494 on a calculator?

You can find the GCD of 354, 334, 45, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.